Cremona's table of elliptic curves

306 = 2 · 3² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 17+	Signs for the Atkin-Lehner involutions
Conductor	306	Conductor
Count	6	Number of curves in isogeny class
Curves	306c1 306c2 306c3 306c4 306c5 306c6	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  0  4 -2 17+  4	Hecke eigenvalues for primes less than 20
L	1.1471740368869	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2448n 9792k 102b 7650bz	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 306c

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	2	0	4	-2	+	4	0	10	8	-2	-10	12	0	-6	-12	-10	-12	0	10	-8	-4	6	-14

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Quadratic twists for isogeny class 306c

-4	8	-3	5	-7	-11	13	17	-19
2448n	9792k	102b	7650bz	14994bh	37026bj	51714p	5202b	110466bj

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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